Doubly censoring scheme, which includes left as well as right censored observations, is frequently observed in practical studies. In this paper we introduce a new interval say tracking interval for comparing the two rival models when the data are doubly censored. We obtain the asymptotic properties of maximum likelihood estimator under doubly censored data and drive a statistic for testing the ...

This paper analyses a case in censored failure time data problems where some observations are potentially censored. The traditional models for failure time data implicitly assume that the censoring status for each observation is deterministic. Therefore, they cannot be applied directly to the potentially censored data. We propose an estimator that uses resampling techniques to approximate censo...

As an application of the improved Cauchy-Schwartz inequality due to Walker (Statist. Probab. Lett. (2017) 122:86-90), we obtain an improved version of the Cramer-Rao inequality for randomly censored data derived by Abdushukurov and Kim (J. Soviet. Math. (1987) pp. 2171-2185). We derive a lower bound of Bhattacharya type for the mean square error of a parametric function based on randomly censor...

Abstract: In this paper, we suggest using a skew Gaussian-log Gaussian model for the analysis of spatial censored data from a Bayesian point of view. This approach furnishes an extension of the skew log Gaussian model to accommodate to both skewness and heavy tails and also censored data. All of the characteristics mentioned are three pervasive features of spatial data. We utilize data augme...

Interval censored data arise naturally in large scale panel studies where subjects can only be followed periodically and the event of interest can only be recorded as having occurred between two examination times. In this paper we consider the problem of comparing two interval-censored samples. We propose to impute exact failure times from interval-censored observations to obtain right censored...

Mai Zhou 1 University of Kentucky, Lexington, KY 40506 USA Summary. Empirical likelihood ratio method (Thomas and Grunkmier 1975, Owen 1988, 1990, 2001) is a general nonparametric inference procedure that has many nice properties. Recently the procedure has been shown to work with some censored/truncated data with various parameters. But the computation of the empirical likelihood ratios with c...

The objective of this study is to identify CR characteristics associated with the CR-fixing duration in the testing phase. Our data set associated with CR-fixing duration includes censored data [1], which censoring arises by discarding the CR because it turns out not actually CR. Although CR-fixing duration of censored data is not known, censored data has a partial information that CRfixing is ...

Sun, Liao, and Pagano (1999) proposed an interesting estimating equation approach to Cox regression with doubly censored data. Here we point out that a modification of their proposal leads to a multiple imputation approach, where the double censoring is reduced to single censoring by imputing for the censored initiating times. For each imputed data set one can take advantage of many existing te...

Empirical likelihood ratio method (Thomas and Grunkmier 1975, Owen 1988, 1990, 2001) is a general nonparametric inference procedure that has many nice properties. Recently the procedure has been shown to also work with censored data with various parameters and the nice properties also hold there. But the computation of the empirical likelihood ratios with censored data and/or complex setting is...

We develop an active set algorithm for the maximum likelihood estimation of a log–concave density based on complete data. Building on this fast algorithm, we introduce an EM algorithm to treat arbitrarily censored data, e.g. right–censored or interval–censored data.